Minimum Number of Observables and System Invariants in Super-Linearization

Jehyung Ko; Mohamed Ali Belabbas

doi:10.1109/LCSYS.2024.3412155

Minimum Number of Observables and System Invariants in Super-Linearization

Research output: Contribution to journal › Article › peer-review

Abstract

This letter explores the concept of super-linearization, a technique for transforming nonlinear systems into a linear system in a higher dimensional space. Our main result is to determine the lowest dimension of this linear representation, provided that one exists. In proving this result, we introduce new universal invariants for super-linearizations.

Original language	English (US)
Pages (from-to)	2217-2222
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	8
DOIs	https://doi.org/10.1109/LCSYS.2024.3412155
State	Published - 2024

Keywords

Linear systems
autonomous systems
modeling

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization

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10.1109/LCSYS.2024.3412155License: CC BY

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abstract = "This letter explores the concept of super-linearization, a technique for transforming nonlinear systems into a linear system in a higher dimensional space. Our main result is to determine the lowest dimension of this linear representation, provided that one exists. In proving this result, we introduce new universal invariants for super-linearizations.",

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Minimum Number of Observables and System Invariants in Super-Linearization

Abstract

Keywords

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